Information on Result #614013
Linear OA(577, 125, F5, 39) (dual of [125, 48, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(582, 130, F5, 42) (dual of [130, 48, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(577, 128, F5, 39) (dual of [128, 51, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(587, 135, F5, 43) (dual of [135, 48, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(578, 132, F5, 39) (dual of [132, 54, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(592, 140, F5, 44) (dual of [140, 48, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(583, 140, F5, 39) (dual of [140, 57, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(599, 147, F5, 47) (dual of [147, 48, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(596, 144, F5, 45) (dual of [144, 48, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(584, 144, F5, 39) (dual of [144, 60, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(586, 149, F5, 39) (dual of [149, 63, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(590, 154, F5, 39) (dual of [154, 64, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(5103, 150, F5, 48) (dual of [150, 47, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(5102, 148, F5, 48) (dual of [148, 46, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(597, 144, F5, 46) (dual of [144, 47, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(598, 144, F5, 47) (dual of [144, 46, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(596, 142, F5, 46) (dual of [142, 46, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(5100, 149, F5, 47) (dual of [149, 49, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(597, 146, F5, 45) (dual of [146, 49, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(591, 138, F5, 44) (dual of [138, 47, 45]-code) | [i] | ✔ | |
| 20 | Linear OA(590, 136, F5, 44) (dual of [136, 46, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(586, 132, F5, 43) (dual of [132, 46, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(588, 137, F5, 43) (dual of [137, 49, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(583, 132, F5, 42) (dual of [132, 49, 43]-code) | [i] | ✔ | |
| 24 | Linear OA(582, 138, F5, 39) (dual of [138, 56, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(581, 136, F5, 39) (dual of [136, 55, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(585, 146, F5, 39) (dual of [146, 61, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(587, 151, F5, 39) (dual of [151, 64, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(595, 160, F5, 39) (dual of [160, 65, 40]-code) | [i] | ✔ | |